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Finding the Fourth Proportional to 285.73, 394.31 and 154.74

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Solution

The fourth proportional to 285.73, 394.31 and 154.74 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.73 : 394.31 = 154.74 : x
  2. Step 2: Convert to fraction form
    285.73/394.31 = 154.74/x
  3. Step 3: Cross multiply
    285.73x = 394.31 × 154.74
  4. Step 4: Simplify right side
    285.73x = 61,016.29
  5. Step 5: Solve for x
    x = 61,016.29/285.73
  6. Step 6: Final answer
    x = 213.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.